MCYSE Shell Element

This API is a package designed for nonlinear finite element simulations with the reduced integrated MCYSE shell element. The nonlinear analysis is based on the Updated Lagrangian Configuration (co-rotational approach). The package includes the computation of the Stiffness Matrix, the Geometrical (or Initial Stress) Stiffness Matrix, and the Internal Force Vector.

Developed in C++ for Linux and Windows operating systems.

Get to know the MCYSE Shell Element Class

Description of the element's Class; its constructor and Public Methods that can be used.

in-plane Reduced Integration with Hourglass Stability Control

65% faster than fully-integrated Shell element MITC4 for the Stiffness

75% faster than fully-integrated Shell element MITC4 for Strains and Stresses

Mesh Convergence & Aircraft Wing Results

Hemispherical Shell Benchmark: A rigorous convergence test with mesh refinement for testing element's accuracy with warped shell element configurations under large rotations analysis.

Designed to push the limits of element performance under extreme warping, transverse shear, and bending loads.

The MCYSE shell element API achieves fast convergence with mesh refinement, delivering similar convergence with MITC4 for the number of elements but higher convergence rate for the same number of integration points.

Explore the gallery for an in-depth analysis of the mesh convergence results and post-processing in our GUI.

Click on the gallery below for the MCYSE Shell API convergence results and post-processing on our GUI for the Hemispherical Shell example.

Aircraft Wing linear elastic simulation with the MCYSE shell API

An application example of the MCYSE Shell API is presented through the linear elastic simulation of an aircraft wing. The wing is fixed at the root (fuselage) and subjected to impulse loading at the landing gear attachment point.

This simulation utilized our free C++ linear elastic template, with pre-processing and post-processing performed using our GUI. The results are showcased in the image gallery below.

Constituents of the API

Stiffness Matrix

Stiffness matrix for the MITC4 shell element. Required for linear and nonlinear analysis.

Geometric Stiffness Matrix

(available soon)

Geometric (Initial Stresses) Stiffness matrix for the MITC4 shell element. It is required for nonlinear analysis with implicit time integration scheme, buckling analysis, etc.

Internal Force (available soon)

Internal Force vector for the MITC4 shell element. Critical for nonlinear analysis for both explicit and implicit time integration schemes.

Strain and Stress Tensors

Strain and Stress tensors at all integration points along the thickness direction of the element. The strain tensor can be used for different type of constitutive models.

Axes Rotation at the GPs (available soon)

Rotation of local axes at the Gauss Points. Important for nonlinear co-rotational analysis, e.g. rotation of planar plastic anisotropic axes, rotation of composites ply axes at the GPs.

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